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370028232 = 2332723137233
BaseRepresentation
bin10110000011100…
…010111011001000
3221210021101022100
4112003202323020
51224211400412
6100414553400
712112121340
oct2603427310
9853241270
10370028232
1117a964762
12a3b08860
135b879422
1437201d20
1522742edc
hex160e2ec8

370028232 has 192 divisors, whose sum is σ = 1209012480. Its totient is φ = 99956736.

The previous prime is 370028177. The next prime is 370028237. The reversal of 370028232 is 232820073.

370028232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 370028196 and 370028205.

It is not an unprimeable number, because it can be changed into a prime (370028237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1587988 + ... + 1588220.

It is an arithmetic number, because the mean of its divisors is an integer number (6296940).

Almost surely, 2370028232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 370028232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604506240).

370028232 is an abundant number, since it is smaller than the sum of its proper divisors (838984248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

370028232 is a wasteful number, since it uses less digits than its factorization.

370028232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 370028232 is about 19236.1179035688. The cubic root of 370028232 is about 717.9236941174.

The spelling of 370028232 in words is "three hundred seventy million, twenty-eight thousand, two hundred thirty-two".